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Higher Recursion Theory


Higher Recursion Theory
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Higher Recursion Theory


Higher Recursion Theory
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Author : Gerald E. Sacks
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Higher Recursion Theory written by Gerald E. Sacks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Computers categories.


This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.



Higher Recursion Theory


Higher Recursion Theory
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Author : Gerald E. Sacks
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Higher Recursion Theory written by Gerald E. Sacks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.


Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.



Higher Recursion Theory And Set Theory


Higher Recursion Theory And Set Theory
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Author : James Cummings
language : en
Publisher: World Scientific
Release Date : 2025-02-18

Higher Recursion Theory And Set Theory written by James Cummings and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Mathematics categories.


This volume celebrates the research contributions of Professors Theodore A Slaman and W Hugh Woodin, marking their distinguished careers in higher recursion theory and set theory as they approached the milestone of their 65th birthdays in 2019. It originates from the Institute for Mathematical Sciences program, Higher Recursion Theory and Set Theory, held at the National University of Singapore (May 20-June 14, 2019).The program explored cutting-edge developments in higher recursion theory, set theory, and their intricate interconnections. Topics discussed during the workshop included Martin's conjecture, higher randomness, the HOD conjecture, descriptive inner model theory, and the Ultimate-L program.This volume presents 15 peer-reviewed contributions by leading experts in the field, offering a comprehensive overview of recent advances in higher recursion theory and set theory, with a focus on their dynamic interactions.



Higher Recursion Theory And Set Theoryhb


Higher Recursion Theory And Set Theoryhb
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Author : Andrew Marks Yue Yang James Cummings
language : en
Publisher: World Scientific Publishing Company
Release Date : 2025

Higher Recursion Theory And Set Theoryhb written by Andrew Marks Yue Yang James Cummings and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.


"In-depth and comprehensive coverage of advanced topics on recursion theory and set theory. The contributors are prominent researchers in recursion theory and set theory. Material is adapted from expert tutorials, providing graduate students and early-career researchers a clear entry point into complex topics"-- Provided by publisher.



Computability


Computability
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Author : Nigel Cutland
language : en
Publisher: Cambridge University Press
Release Date : 1980-06-19

Computability written by Nigel Cutland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-06-19 with Computers categories.


What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.



Recursion Theory


Recursion Theory
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Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17

Recursion Theory written by Chi Tat Chong and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Mathematics categories.


This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.



General Recursion Theory


General Recursion Theory
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Author : Jens E. Fenstad
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

General Recursion Theory written by Jens E. Fenstad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.


This volume presents a unified and coherent account of the many and various parts of general recursion theory.



Recursion Theory


Recursion Theory
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Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter
Release Date : 2015

Recursion Theory written by Chi Tat Chong and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Computers categories.


The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.



Ordinal Definability And Recursion Theory


Ordinal Definability And Recursion Theory
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Author : Alexander S. Kechris
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-11

Ordinal Definability And Recursion Theory written by Alexander S. Kechris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-11 with Mathematics categories.


The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.



Techniques Of Admissible Recursion Theory


Techniques Of Admissible Recursion Theory
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Author : C. T. Chong
language : en
Publisher: Springer
Release Date : 2006-12-08

Techniques Of Admissible Recursion Theory written by C. T. Chong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.